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Finding the Third Proportional to 180,342 and 387,840

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Solution

The third proportional to 180,342 and 387,840 is: 834,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,342 : 387,840 = 387,840 : x
  2. Step 2: Convert to fraction form
    180,342/387,840 = 387,840/x
  3. Step 3: Cross multiply
    180,342x = 387,840 × 387,840
  4. Step 4: Simplify right side
    180,342x = 150,419,865,600
  5. Step 5: Solve for x
    x = 150,419,865,600/180,342
  6. Step 6: Final answer
    x = 834,081.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.